Computational simulations of cardiac electrophysiology provide detailed information on the
depolarization phenomena at different spatial and temporal scales. With the development of …

Computational techniques have significantly advanced our understanding of cardiac
electrophysiology, yet they have predominantly concentrated on averaged models that do …

In this work, we are interested in solving large linear systems stemming from the extra–
membrane–intra model, which is employed for simulating excitable tissues at a cellular …

The intercalated disk (ID) is a specialized subcellular region that provides electrical and
mechanical connections between myocytes in the heart. The ID has a clearly defined …

A balancing domain decomposition by constraints (BDDC) preconditioner is constructed and
analyzed for the solution of composite discontinuous Galerkin discretizations of reaction …

The activity and dynamics of excitable cells are fundamentally regulated and moderated by
extracellular and intracellular ion concentrations and their electric potentials. The increasing …

Computational modeling has contributed significantly to present understanding of cardiac
electrophysiology including cardiac conduction, excitation-contraction coupling, and the …

The conduction of electrical signals through cardiac tissue is essential for maintaining the
function of the heart, and conduction abnormalities are known to potentially lead to life …

It has been proposed that when gap junctional coupling is reduced in cardiac tissue, action
potential propagation can be supported via ephaptic coupling, a mechanism mediated by …

We propose a boundary element method for the accurate solution of the cell-by-cell
bidomain model of electrophysiology. The cell-by-cell model, also called Extracellular …